34012214120 has 64 divisors (see below), whose sum is σ = 77320422720. Its totient is φ = 13464177664.

The previous prime is 34012214083. The next prime is 34012214123. The reversal of 34012214120 is 2141221043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34012214092 and 34012214101.

It is not an unprimeable number, because it can be changed into a prime (34012214123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4974224 + ... + 4981056.

It is an arithmetic number, because the mean of its divisors is an integer number (1208131605).

Almost surely, 2^34012214120 is an apocalyptic number.

It is an amenable number.

34012214120 is an abundant number, since it is smaller than the sum of its proper divisors (43308208600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34012214120 is a wasteful number, since it uses less digits than its factorization.

34012214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8114 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34012214120 its reverse (2141221043), we get a palindrome (36153435163).

The spelling of 34012214120 in words is "thirty-four billion, twelve million, two hundred fourteen thousand, one hundred twenty".